Abstract: “We have devised and implemented a tessellation algorithm with two typical space filling curves, Hilbert curve and Sierpinski curve, and applied the tessellation algorithm into the construction of 3D fractal models. In this paper we shall describe our tessellation algorithm with Hilbert curve and Sierpinski curve, and provide the method how to map the two tiled planes on the surface of models. Some result of verification experiments will be provided also.”

Keywords: Hilbert curve, Sierpinski curve, recursion, tessellation, modeling and rendering, primitive models.